30465771400 has 96 divisors (see below), whose sum is σ = 75059649000. Its totient is φ = 11460280320.

The previous prime is 30465771379. The next prime is 30465771403. The reversal of 30465771400 is 417756403.

It can be written as a sum of positive squares in 12 ways, for example, as 8143618564 + 22322152836 = 90242^2 + 149406^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 30465771400.

It is not an unprimeable number, because it can be changed into a prime (30465771403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5467816 + ... + 5473384.

Almost surely, 2^30465771400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30465771400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37529824500).

30465771400 is an abundant number, since it is smaller than the sum of its proper divisors (44593877600).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

30465771400 is a wasteful number, since it uses less digits than its factorization.

30465771400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7211 (or 7202 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 37.

The spelling of 30465771400 in words is "thirty billion, four hundred sixty-five million, seven hundred seventy-one thousand, four hundred".